Αποτελέσματα Αναζήτησης
Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to expand logarithms. How to expand logarithms? There are two sets of expanding logarithm worksheets. Expand Logarithms. Expand Logarithms (Include Radicals).
The following examples show how to expand logarithmic expressions using each of the rules above. Use the Power Rule for Logarithms. Since 7a is the product of 7 and a, you can write 7a as 7 • a. Use the Product Rule for Logarithms. 5 3 log = log511 – log53 Use the Quotient Rule for Logarithms.
Expanding and Condensing Logarithms Expand each logarithm. Justify each step by stating logarithm property used. Level 2: 1) log 6 u v 2) log 5 3 a 3) log 7 54 4) log 4 u6 5) log (a ⋅ b) 6) log 5 6 7 Level 3: 7) log 4 x3 8) log 6 (3 ⋅ 11)6 9) log 6 (ab3) 10) log 4 (a ⋅ b ⋅ c) 11) log 5 (10 ⋅ 11 3) 12) log 7 (x ⋅ y)6 Level 4: 13) log ...
Expand each logarithm. ln ( x 6 y 3) log ( x ⋅ y ⋅ z 3) log 9 ( 33. log 7 ( 3 x. log ( a 6 b 5) Condense each expression to a single logarithm. Rewrite each equation in exponential form. Rewrite each equation in logarithmic form. Solve each equation. Round your answers to the nearest ten-thousandth. 90) No solution.
Expand each logarithm. 1) log (x4 y) 6 2) log 5 (z2x) 3) log 5 (x4y3) 4) log 6 (ab3) 2 5) log (62 7) 2 6) log 4 (6 × 72) 3 7) log 7 (114 8) 2 8) log 9 (xy5) 6 Condense each expression to a single logarithm. 9) 5log 3 11 + 10log 3 6 10) 6log 9 z + 1 2 × log 9 x 11) 3log 4 z + 1 3 × log 4 x12) log 6 c + 1 2 × log 6 a + 1 2 × log 6 b 13) 6log ...
Expand each logarithm. ln ( x 6 y 3) log ( x ⋅ y ⋅ z 3) log 9 ( 33. log 7 ( 3 x. log ( a 6 b 5) Condense each expression to a single logarithm. Rewrite each equation in exponential form. Rewrite each equation in logarithmic form. Solve each equation.
Question 6 Simplify each of the following logarithmic expressions, giving the final answer as a number not involving a logarithm. a) log 40 log 52 2− b) log 4 log 96 6+ c) log log log2 2 2(5 5) (4) ( ) 2 3 3 + − d) 3 3( ) ( ) 2 2 1 1 4log log8 3 27 2 9 + e) 2 2( ) ( ) 3 3 1 4log 2log 9 2 9 4 − 3 , 2 , 1 , −2 , 5
